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Finding the Third Proportional to 2,486,340 and 3,509,460

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Solution

The third proportional to 2,486,340 and 3,509,460 is: 4,953,590.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,486,340 : 3,509,460 = 3,509,460 : x
  2. Step 2: Convert to fraction form
    2,486,340/3,509,460 = 3,509,460/x
  3. Step 3: Cross multiply
    2,486,340x = 3,509,460 × 3,509,460
  4. Step 4: Simplify right side
    2,486,340x = 12,316,309,491,600
  5. Step 5: Solve for x
    x = 12,316,309,491,600/2,486,340
  6. Step 6: Final answer
    x = 4,953,590.21

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.